To sketch the function
Answer to Problem 143RE
Explanation of Solution
Given:
Function:
Calculation for graph:
Consider
Values of x | Values of f ( x ) |
0 | Infinity |
1 | 4 |
-1 | 2 |
2 | 3.5 |
-2 | 2.5 |
By taking different values of x , the graph can be plotted.
Graph:
Calculation:
Intercepts:
Let
To find x intercepts, put y = 0,
So, x intercept is (-0.333, 0).
To find y intercepts, put x = 0,
So, there are no y intercepts for given function.
Asymptotes:
Vertical asymptotes:
To find vertical asymptotes, put denominator of the given function equal to zero.
Horizontal asymptotes:
As the degree of numerator is equal to the degree of the denominator, the horizontal asymptote is
Slant asymptotes:
As the degree of numerator is equal to the degree of the denominator, the slant asymptote does not exist.
Holes:
Here, the given function does not contain common factor in numerator and denominator. So, the function does not have any holes.
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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